Extremal Finite Set Theory

Name: Extremal Finite Set Theory
Brand: Taylor & Francis
SKU: 9781032476001
Price: 4105.0 INR
Availability: InStock

by Daniel Gerbner

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ISBN13: 9781032476001
Binding: Paperback
Subject: N/A
Publisher: Taylor & Francis
Publisher Imprint: CRC Press
Publication Date: January 21, 2023
Pages: 352
Original Price: GBP 48.99
Language: English
Edition: N/A
Item Weight: 540 grams
BISAC Subject(s): Combinatorics, Set Theory, and Finite Mathematics

About The Book

Extremal Finite Set Theory surveys old and new results in the area of extremal set system theory. It presents an overview of the main techniques and tools (shifting, the cycle method, profile polytopes, incidence matrices, flag algebras, etc.) used in the different subtopics. The book focuses on the cardinality of a family of sets satisfying certain combinatorial properties. It covers recent progress in the subject of set systems and extremal combinatorics.

Intended for graduate students, instructors teaching extremal combinatorics and researchers, this book serves as a sound introduction to the theory of extremal set systems. In each of the topics covered, the text introduces the basic tools used in the literature. Every chapter provides detailed proofs of the most important results and some of the most recent ones, while the proofs of some other theorems are posted as exercises with hints.

Features:

Presents the most basic theorems on extremal set systems

Includes many proof techniques

Contains recent developments

The book's contents are well suited to form the syllabus for an introductory course

About the Authors:

DÃ¡niel Gerbner is a researcher at the AlfrÃ©d RÃ©nyi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from EÃ¶tvÃ¶s LorÃ¡nd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory.

BalÃ¡zs PatkÃ³s is also a researcher at the AlfrÃ©d RÃ©nyi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.

About The Author

Dániel Gerbner is a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences in Budapest, Hungary. He holds a Ph.D. from Eötvös Loránd University, Hungary and has contributed to numerous publications. His research interests are in extremal combinatorics and search theory.

Balázs Patkós is also a researcher at the Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences. He holds a Ph.D. from Central European University, Budapest and has authored several research papers. His research interests are in extremal and probabilistic combinatorics.

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